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Exponential stability of coupled beams with dissipative joints: A frequency domain approach. (English) Zbl 0819.93042

Two examples of coupled Euler-Bernoulli beams with a dissipative joint are discussed. Joint placements that lead to exponential stability for these systems are characterized. The technique used shows that input-output stability implies exponential stability. The analysis of the second system involves a complete spectrum analysis of the zero dynamics of the associated controlled, observed system.

MSC:

93C20 Control/observation systems governed by partial differential equations
93D15 Stabilization of systems by feedback
93C95 Application models in control theory
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